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Finding the Fourth Proportional to 204,290.49, 281,929.98 and 170,241.98

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Solution

The fourth proportional to 204,290.49, 281,929.98 and 170,241.98 is: 234,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,290.49 : 281,929.98 = 170,241.98 : x
  2. Step 2: Convert to fraction form
    204,290.49/281,929.98 = 170,241.98/x
  3. Step 3: Cross multiply
    204,290.49x = 281,929.98 × 170,241.98
  4. Step 4: Simplify right side
    204,290.49x = 47,996,318,016.56
  5. Step 5: Solve for x
    x = 47,996,318,016.56/204,290.49
  6. Step 6: Final answer
    x = 234,941.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.